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Correct question:

The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF​  of two numbers.​

Answer:

The HCF of two numbers is 50.

Step-by-step explanation:

let the H.C.F of the two numbers = x

let the L.C.M of the two numbers = y

y = 9x -------equation (1)

y + x = 500 -------- equation (2)

y = 500 - x

Substitute in the value of y in equation (1)

500 - x = 9x

500 = 9x + x

500 = 10x

x = 500 / 10

x = 50

Therefore, the HCF of two numbers is 50.

Answer:

50

Step-by-step explanation:

There are 2 prime factors that are different and 2 numbers that we look for that are identical when looking for prime factors.

So  for numbers that don't end in 0 like 500 we can start with 3 to get 27 as one of the two numbers, then we look to see if 27 divides into that.

But for 500 it will always be numbers that end in  0 or 5  and also 1,  2 and 4

So we work with 9+1 = 10

x = 10

500/10 = 50

18 + 22 = 40 total kids.

22 are boys

Probability the letter is with a boy would be 22/40 = 11/20

Answer: Hi!

GEMDAS is the guideline that you would use to solve a algebraic expression. It tells you the order of which things you should solve or simplify first.

G. Groupings. (There is a similar expression called PEMDAS that is a bit easier to understand, where  the P stands for parentheses, brackets, etc.)

E. Exponents.

MD. Multiplication and Division, right to left.

AS. Addition and Subtraction, right to left.

Hope this helps!

Answer:

y = 15, 11, and -1 when x = -1, 0, and 3 (respectively).  Together, we have the points (-1, 15), (0, 11), and (3, -1).

Step-by-step explanation:

Assuming you want to find the values of y for each evaluated x, we will simply plug in the values into the equation.

y + 4x = 11

y = 11 - 4x

For x = -1

y = 11 - 4(-1)

y = 15

For x = 0

y = 11 - 4(0)

y = 11

For x = 3

y = 11 - 4(3)

y = -1

Thus, we have the points, (-1, 15), (0, 11), and (3, -1).

Cheers.

Answer:

True

Step-by-step explanation:

It means the perimeter of it is 5 times the length of its side.

The answer is yes, the statement is TRUE.

Answer:

Step-by-step explanation:

41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...

  0.25 × 0.4 = 0.1

__

42. To find total beats, multiply beats per second by seconds.

  (52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats

The hummingbird's wings will beat 1846 times in 35.5 seconds.

__

43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).

Answer:

41) 0.25 × 0.4 = 0.1

It has only one decimal place in the product because 0.25 has two significant figures and 0.4 has one significant figure. When multiplying, the product will always match with the number that has the least amount of significant figures. Since 0.4 has one significant figure, the product, 0.1, will also have one significant figure.

42) 35.5 s × 52 times/s = 1,846 times

43) 42 tins × $9.25/tin = $388.50

Hope that helps.

Answer: lived 48 years

              reigned for 15 years

Step-by-step explanation:

Let x represent the number of years he reigned.

Let y represent Alexander's age.

Use the given information to create a system of equations:

Equation 1:      x + 9 = (1/2)y

Equation 2:     x - 9 = (1/8)y

Multiply the second equation by -1 and add the equations to eliminate x:

 [tex].\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y[/tex]  

Input y = 48 into either equation to solve for x:

[tex].\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15[/tex]    

Answer:

The answer is: Integers, Rational numbers, and Real numbers.

Step-by-step explanation:

Following are the description of the numbers:

That's why, the choice is "C, E, and F" which are Real numbers, Integers, and Rational numbers are correct.

Learn more:

Numbers: brainly.com/question/3589540

Answe:

27

Step-by-step explanation:

Let total children =x

when x divide by 6 we got 3

and when divide by 8 we also got 3

since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27

Answer:

q = 6/13, p = 35/13

Step-by-step explanation:

3p + 2q = 9

2p - 3q = 4

_________ (subtract the two equation from each other.)

p + 5q = 5

p = 5 - 5q

2(5 - 5q) - 3q = 4 (substitute value of p into equation)

10 - 10q - 3q = 4

10 - 13q = 4

-13q = -6

q = 6/13

3p + 2(6/13) = 9 (substitute value of q into equation)

3p + 12/13 = 9

3p = 105/13

p = 35/13

Answer:   x -11  is the expression and    she deducted 11 dollars

Step-by-step explanation:

Let's say x represent the the total amount of money in her savings account.So if 5 and 6 dollars we deducted will have the expression

x - 5 -6       or x -11  

In this case Janet deducted 11 dollars.

This question was not written properly.

Complete Question

Solve for b.

2/3b + 5 = 20 - b

Answer:

b = 9

Step-by-step explanation:

We are given the algebraic expression

2/3b + 5 = 20 - b

Step 1

Collect like terms

2/3b + b = 20 - 5

Step 2

Solve for the left hand side of the equation

2/3b + b = 15

(5/3)b = 15

Step 3

Cross multiply

5b = 15 × 3

Step 4

Divide both sides by 5

5b/5 = 45/5

b = 9

Answer: b=9

Step-by-step explanation:bc khan +]

Answer:

y = -3x + 1

Step-by-step explanation:

slope = -3

y = mx + b

7 = -3(-2) + b

7 = 6 + b

1 = b

y = -3x + 1

Answer:

B. 72.5

Step-by-step explanation:

b° = 1/2(180° - 35°)

b° = 1/2 * 145°

b° = 72.5°

b = 72.5

The value of angle b will be 72.5°. Then the correct option is B.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The central angle is 35°. Then the angle at the periphery will be

⇒ 35 / 2

⇒ 17.5°

We know that the radius of the circle and tangent of the circle makes 90°.

Then the angle b is given as

b + 17.5 + 90 = 180

                  b = 180 – 107.5

                  b = 72.5°

Thus, the value of angle b will be 72.5°.

Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

The million dollar cube will be 10.79 cm tall

Step-by-step explanation:

Let the sides of the gold cube representing the tallness of the cube  be s

volume of the gold cube V = s³

Then :

[tex]\mathbf{s = \sqrt[3]{V} }[/tex]  --- (1)

Similarly; we know that , density ρ = mass m/Volume V

making volume the subject of the formula, then ;

V = m/ρ

Replacing that into (1) above , we have:

[tex]\mathbf{s = \sqrt[3]{\dfrac{m}{\rho}} }[/tex]

Given that:

At the time, gold is selling for $1282 per troy ounce

∴ In a million-dollar cube of gold, the number of troy ounce that can be bought with a million dollar = 1000000/1282 = 780.03 troy ounce

Since 1.0000 troy ounce equals 31.1035 g

∴ 780.03 troy ounce = 780.03  × 31.1035 g

= 24261.66 g

From the tables 12.1 of Gold , the density of Gold is obtained as 19.3 g/cm³

∴

[tex]\mathbf{s = \sqrt[3]{\dfrac{m}{\rho}} }[/tex]

[tex]\mathbf{s = \sqrt[3]{\dfrac{24261.66}{19.3}} }[/tex]

[tex]\mathbf{s = \sqrt[3]{1257.080829} }[/tex]

[tex]\mathbf{s = 10.79 \ cm }}[/tex]

The million dollar cube will be 10.79 cm tall

Answer:

8209.44

Step-by-step explanation:

CUBE: 20x20x20=8000

HEMISPHERE=2/3[tex]\pi[/tex]r²=

2/3[tex]\pi[/tex](10)²=209.44

8000+209.44=8209.44

Answer:

Step-by-step explanation:

Given  P(0,-3), Q(7,0), to get PQ, we will use the formula fr calculating the distance between two points expressed as;

PQ = √(x₂-x₁)²+(y₂-y₁)²

From the given coordinates, x₁ = 0, y₁ = -3, x₂ = 7, y₂ = 0

PQ = √(7-0)²+(0-(-3))²

PQ = √7²+3²

PQ = √49+9

PQ = √58

Let the coordinte of the midpoint be (X, Y)

X = x₁+x₂/2 and Y = y₁+y₂/2

Substituting the given coordinates will give;

X = 0+7/2

X = 7/2

X = 3.5

Y = -3+0/2

Y = -3/2

Y = -1.5

Hence, the coordinates of the midpoint of PQ is (3.5, -1.5)

Answer:

C -(-6.53)+4.11-(-7.92)−(−6.53 )+4.11−(−7.92)minus, left parenthesis, minus, 6, point, ...

Answer: Choice B and Choise C.Step-by-step explanation: Equivalent expressions are those expressions that have the same value but they look different.

Answer:

-1.5

Step-by-step explanation:

See steps below:

Answer:

Step-by-step explanation:

The answer is 3 /8/33.

step by step explanation

First, we can write:

x

=

3

.

¯¯¯¯

24

Next, we can multiply each side by

100

giving:

100

x

=

324

.

¯¯¯¯

24

Then we can subtract each side of the first equation from each side of the second equation giving:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can now solve for

x

as follows:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Now, we can convert this improper fraction to a mixed number:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

24

=

3

8

33

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 4)² = 36 ← is in standard form

with (h, k) = (3, - 4 ) = centre and r = [tex]\sqrt{36}[/tex] = 6

Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.

She also divided 36 by 2 , thus omitting the root of 36

Answer:

1.5 x 10^7

Step-by-step explanation:

move 7 times to the right to check answer 1.5000000

1.5 x [tex]10^{7}[/tex] is written in scientific notation.

Scientific notation is a manner of writing very huge or very small numbers. a range of is written in scientific notation whilst a variety of between 1 and 10 is extended with the aid of a strength of 10. As an example, 650,000,000 can be written in clinical notation as 6.5 ✕ 10^8. Created by means of Sal Khan and the CK-12 Foundation.

The color of mild a star emits is associated with its temperature. This means we will determine the effective temperature of the solar by using measuring the amount of mild it emits at each wavelength and evaluating the ensuing spectrum we see in models.

Learn more about scientific notation here: https://brainly.com/question/27862246

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1. (1 / 5)5 * 14 = 14 because 1/5 multplied by 5 is equal to 1. I believe this is called reciprocals.

2. 6 + 4 (19 - 5) = 6 + 4(19) - 4(5) = 6 + 76 - 20 = 62. This is called the distributive property.

3. 5 (14 - 5) + 6 (3 + 7) = 5(14) - 5(5) + 6(3) + 6(7) = 70 - 25 + 18 + 42 = 105. We also used the distributive property in this question.

Answer:

x₁ = 0.6

x₂ = 1.07

Step-by-step explanation:

36x² + 23 = 60x

36x² - 60x + 23 = 0

x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)

x = {60±√(3600-3312)} / 72

x = {60±√288) / 72

x = {60±16.97) / 72

x₁ = {60-16.97} / 72 = 43.03/72 = 0.6   aprox.

x₂ = {60+16.97} / 72 = 76.97/72 = 1.07    aprox.

verify:

x₁

36*0.6² + 23 = 60*0.6

36*0.36 + 23 = 36

13 + 23 = 36

x₂

36*1.07² + 23 = 60*1.07

36*1.145 + 23 = 64.2

41.2 + 23 = 64.2

Answer:

Answer:

speed = 43.974 miles per hour

= 43.974 mi/h

Step-by-step explanation: speed calculator

do you want me to make you a box and whisker plot if so then here

Answer:

Step-by-step explanation:

[tex] \sf{16 - x = 3}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{ - x = 3 - 16}[/tex]

Calculate

⇒[tex] \sf{ - x = - 13}[/tex]

Change the signs of both sides of the equation

⇒[tex] \sf{x = 13}[/tex]

Hope I helped!

Best regards!!

Answer: 13

Step-by-step explanation:

   16-x=3

16-x-3=3-3 ⇔ subtraction property of equality

   13-x=0

13-x-13=0-13 ⇔ subtraction property of equality

       -x=-13

        x=13

-----------------------------------

Easier way if you know how to do equation

16-x=3

   -x=-13 (skip all the subtracting parts)

    x=13

Hope this helps!! :)